Liouville theorems of solutions to mixed order Hénon-Hardy type system with exponential nonlinearity
In this paper, we are concerned with the Hénon-Hardy type systems with exponential nonlinearity on a half space R+2 ${\mathbb{R}}_{+}^{2}$ : (−Δ)α2u(x)=|x|aup1(x)eq1v(x),x∈R+2,(−Δ)v(x)=|x|bup2(x)eq2v(x),x∈R+2, $\begin{cases}{\left(-{\Delta}\right ...
Dai Wei, Peng Shaolong
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The thermalization of a gas towards a Maxwellian velocity distribution with the background temperature is described by a kinetic relaxation model. The sum of the kinetic energy of the gas and the thermal energy of the background are conserved, and the ...
Favre, Gianluca +2 more
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Steady euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles [PDF]
We establish the existence and uniqueness of smooth solutions with large vorticity and weak solutions with vortex sheets/entropy waves for the steady Euler equations for both compressible and incompressible fluids in arbitrary infinitely long nozzles. We
Chen, Gui-Qiang +3 more
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Nonlocal Mixed Systems With Neumann Boundary Conditions [PDF]
We prove well posedness and stability in L-1 for a class of mixed hyperbolic-parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary.
Colombo R. M., Rossi E., Sylla A.
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Mjerenje bazisa za trigonometrijsku mrežu grada Zagreba 1947. god. [PDF]
Mjerenje bazisa za trigonometrijsku mrežu grada Zagreba 1947 ...
Abakumov, Nikolaj
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Existence and non-existence results to a mixed Schrodinger system in a plane
This article focuses on the existence and non-existence of solutions for the following system of local and nonlocal type \begin{equation*} \left\{ \begin{aligned} -\partial_{xx}u + (-\Delta)_{y}^{s_{1}} u + u - u^{2_{s_{1}}^{}-1} = \kappa \alpha ...
Hajaiej, Hichem +3 more
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Multidimensional Riemann Problems: Transonic Shock Waves and Free Boundary Problems
We are concerned with global solutions of multidimensional Riemann problems for nonlinear hyperbolic systems of conservation laws, focusing on their global configurations and structures. We present some recent developments in the rigorous analysis of two-
Chen, G., Gui-Qiang
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On the Inertial Range Bounds of K-41-like Magnetohydrodynamics Turbulence. [PDF]
Tegegn TA.
europepmc +1 more source
Interface dynamics in a degenerate Cahn--Hilliard model for viscoelastic phase separation [PDF]
The formal sharp-interface asymptotics in a degenerate Cahn--Hilliard model for viscoelastic phase separation with cross-diffusive coupling to a bulk stress variable are shown to lead to non-local lower-order counterparts of the classical surface ...
Hopf, Katharina +3 more
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A mixed system modeling two-directional pedestrian flows [PDF]
International audienceIn this article, we present a simplified model to describe the dynamics of two groups of pedestrians moving in opposite directions in a corridor.
Goatin, Paola, Mimault, Matthias
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